Pith Number

pith:3MQQBMX6

pith:2013:3MQQBMX6P7BXIX63YBQWXKJIIJ

not attested not anchored not stored refs pending

Twist-2 at five loops: Wrapping corrections without wrapping computations

V.N. Velizhanin

arxiv:1311.6953 v4 · 2013-11-27 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MQQBMX6P7BXIX63YBQWXKJIIJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part

Receipt and verification

First computed	2026-05-18T01:46:05.691330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2100b2fe7fc3745fdbc0616ba9284258e57d3ca5e38e47c44cde95cbb2de60

Aliases

arxiv: 1311.6953 · arxiv_version: 1311.6953v4 · doi: 10.48550/arxiv.1311.6953 · pith_short_12: 3MQQBMX6P7BX · pith_short_16: 3MQQBMX6P7BXIX63 · pith_short_8: 3MQQBMX6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MQQBMX6P7BXIX63YBQWXKJIIJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: db2100b2fe7fc3745fdbc0616ba9284258e57d3ca5e38e47c44cde95cbb2de60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db58d78511484a56bee82b8cf6b5dc36191f1f2e260bc4c1e8f7d5387fc1a9dd",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-11-27T12:33:45Z",
    "title_canon_sha256": "d3f7d6da2b30d4f2e54cde3d32d3d506c36d53de010839e8dbdbaea782d4bede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6953",
    "kind": "arxiv",
    "version": 4
  }
}